First lady Chirlane McCray’s chief of staff, Rachel Noerdlinger, did not disclose that she was living with convicted killer Hassaun McFarlane when she submitted her Department of Investigation background check to the city, The Post has learned.

De Blasio, meanwhile, has come under a firestorm of criticism for keeping Noerdlinger on the payroll despite her boyfriend’s criminal past.

Rachel Noerdlinger and her boyfriend Hassaun McFarlaneFacebook

“I have full faith in Rachel,” the mayor said last week at City Hall.

“You don’t fire people because of something their boyfriend said. That’s ludicrous.”

McFarlane has a rap sheet that includes homicide, conspiring to run a cocaine operation and nearly running a police officer off the road near Noerdlinger’s home in Edgewater last year.

In the incident with the officer, McFarlane pleaded down to disorderly conduct.

The ex-con also wrote sickening comments on the blog Hip Hop News 24-7 that talked about violence and demeaned women.

“Trying to find the right black woman with a mean [oral sex] game is like trying to find a black woman with good credit,” he wrote in March 2011.

He also repeatedly referred to cops as “pigs” on social media.

If it is found that she committed a lie of omission during the investigation, then she should be fired.

- Patrick Lynch

It was also revealed this week that although Noerdlinger won special approval to live in New Jersey by claiming her son was injured, the strapping young man had fully recovered and even played linebacker for his high school football team.

Noerdlinger — who did not reply to a request for comment — claimed her 17-year-old son, Khari, suffered devastating injuries in two cars crashes.

But the aspiring rapper played nine games and racked up 41 tackles and two sacks during the last school year’s season.